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 Half lightlike submanifolds of an indefinite trans-Sasakian manifold Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 979-994 https://doi.org/10.4134/BKMS.2014.51.4.979Printed July 31, 2014 Dae Ho Jin Dongguk University Abstract : We study half lightlike submanifold $M$ of an indefinite trans-Sasakian manifold such that its structure vector field is tangent to $M$. First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form. Keywords : indefinite trans-Sasakian manifold, half lightlike submanifold, screen conformal, totally umbilical, screen totally umbilical MSC numbers : Primary 53C25, 53C40, 53C50 Downloads: Full-text PDF